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Finding the Fourth Proportional to 16,031.93, 22,120.59 and 9,314.11

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Solution

The fourth proportional to 16,031.93, 22,120.59 and 9,314.11 is: 12,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.93 : 22,120.59 = 9,314.11 : x
  2. Step 2: Convert to fraction form
    16,031.93/22,120.59 = 9,314.11/x
  3. Step 3: Cross multiply
    16,031.93x = 22,120.59 × 9,314.11
  4. Step 4: Simplify right side
    16,031.93x = 206,033,733.32
  5. Step 5: Solve for x
    x = 206,033,733.32/16,031.93
  6. Step 6: Final answer
    x = 12,851.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.